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3 years ago

The figure below shows parallel lines cut by a transversal:

Mathematics

2 answers:

qaws [65]3 years ago

7 0

Answer:

∠1 and ∠2 are congruent because they are a pair of alternate interior angles.

Step-by-step explanation:

Given a pair of parallel lines which are cut by traversal line as shown in figure.

∠1 and ∠2 are shown in figure.

we have to find the relation between ∠1 and ∠2

∠1 and ∠2 angles are formed on opposite sides of the traversal and are on the inner side of the two parallel lines are alternate interior angles.

By the theorem

If two lines are parallel then the alternate interior angles are equal i.e

∠1 and ∠2 are congruent because they are a pair of alternate interior angles.

Option 3 is correct.

ad-work [718]3 years ago

4 0

Angles 1 and 2 are congruent because they are a pair of alternate interior angles.

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Strands Copper wire from a manufacturer are analyzed forstrenghth and conductivity. The Results from 100 strands are asfollows:S

Thepotemich [5.8K]

Answer and explanation:

Given : Strands Copper wire from a manufacturer are analyzed forstrenghth and conductivity. The Results from 100 strands are as follows :

Strength Strength

High Low

High conductivity 74 8

Low conductivity 15 3

To find :

a) If a stand is randomly selected, the probability that is conductivity is high and its strength is high

The favorable outcome is 74

The probability is given by,

$P=\frac{74}{100}=0.74$

b) If a stand is randomly selected, the probability that its conductivity is low or strength is low

Conductivity is low A= 15+3=18

Strength is low B= 8+3=11

Conductivity is low and strength is low $A\cap B=3$

Probability is given by,

$P(A\cup B)=P(A)+P(B)-P(A\cap B)$

$P(A\cup B)=\frac{18}{100}+\frac{11}{100}-\frac{3}{100}$

$P(A\cup B)=0.18+0.11-0.03$

$P(A\cup B)=0.26$

c) Consider the event that a strand low conductivity and the event that the strand has a low strength. Are these tow events mutually exclusive?

Since the events the stand has low conductivity and the stand has low strength are not mutually exclusive, since there exists some cases in which both the events coincide. i.e. Intersection of both the events exists with probability 0.03.

8 0

2 years ago

A three-centimeter cube has been painted red on all sides. it is cut into one centimeter cubes. how many cubes will be there wit

Likurg_2 [28]

There will be only 6 cubes with only one side painted red.

Cube : A cube is a 3D shape having 6 equal square sides. it has 6 faces , 8 vertices and 12 edges.

According to the question

A 3 cm cube is divided into one centimeter cube.

Every face will have 9 cube each and from that 9 cube there will be only one 1 cube that will have one side painted red.

Since there are 6 faces,

cubes painted one side red = 6x1=6.

Therefore , There will be only 6 cubes with only one side painted red.

Learn more about Cube here brainly.com/question/14619542

#SPJ4

7 0

1 year ago

For Thanksgiving Break Nykouth and her family is going to visit relatives in Nebraska. Her dad has found a hotel room at the Hil

taurus [48]

Answer:

109n + 35

Step-by-step explanation:

I'm not sure what you are asking because you have no question in there

8 0

2 years ago

Find the area of this trapezoid. Include the correct unit in your answer.

NemiM [27]

Answer:

$\displaystyle A _{ \text{trapezoid}} = 70 {m}^{2}$

Step-by-step explanation:

we are given a trapezoid

we want to figure out the area

remember that,

$\displaystyle A _{ \text{trapezoid}} = \frac{a + b}{2} h$

where a and b represent the parallel lines and h represents the height

we get from the pic that a and b are 5 and 15 respectively and h is 7

so substitute:

$\displaystyle A _{ \text{trapezoid}} = \frac{5 + 15}{2} \times 7$

simplify addition:

$\displaystyle A _{ \text{trapezoid}} = \frac{20}{2} \times 7$

simplify division:

$\displaystyle A _{ \text{trapezoid}} = 10\times 7$

simplify multiplication:

$\displaystyle A _{ \text{trapezoid}} = 70$

since we multiply two same units we of course have to use square unit

hence,

$\displaystyle A _{ \text{trapezoid}} = 70 {m}^{2}$

4 0

2 years ago

Find all values of x such that <img src="https://tex.z-dn.net/?f=%5Csqrt%7B4x%5E2%7D%20-%5Csqrt%7Bx%5E2%7D%3D%206" id="TexFormul

tester [92]

There are two answers.
6 and -6

3 0

3 years ago